Question

What is the arc length when Θ = pi over 3 and the radius is 5 cm?

Answer 1

The circumference of the total circle is 10pi. The fraction of the circumference we want is $\frac{ \frac{ \pi }{3} }{ 2 \pi } = \frac{1}{6}$. One sixth of 10pi is 5/3pi, which is the length of the arc

Answer 2

Answer:

Arc length = 5.23 cm  

Step-by-step explanation:

Given : Radius = 5 cm

             Angle = $\theta=\frac{\pi}{3}$

To find : Arc length(A)

Solution: The formula of arc length is

                 A = radius × angle(in radian)

                $A= 5\times\frac{\pi}{3}$

                          ⇒$\frac{5\pi}{3}$

                      A  ⇒15.70/3 = 5.23 cm